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385413696 = 2632669121
BaseRepresentation
bin10110111110001…
…111001001000000
3222212020001012100
4112332033021000
51242131214241
6102124430400
712356651043
oct2676171100
9885201170
10385413696
11188613018
12a90a8400
1361b05355
1439288c5a
1523c819b6
hex16f8f240

385413696 has 42 divisors (see below), whose sum is σ = 1104720422. Its totient is φ = 128471040.

The previous prime is 385413673. The next prime is 385413703. The reversal of 385413696 is 696314583.

It can be written as a sum of positive squares in only one way, i.e., 333573696 + 51840000 = 18264^2 + 7200^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 333985 + ... + 335136.

Almost surely, 2385413696 is an apocalyptic number.

385413696 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

385413696 is an abundant number, since it is smaller than the sum of its proper divisors (719306726).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

385413696 is a wasteful number, since it uses less digits than its factorization.

385413696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669139 (or 669126 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 385413696 is about 19631.9559901707. The cubic root of 385413696 is about 727.7391087060.

The spelling of 385413696 in words is "three hundred eighty-five million, four hundred thirteen thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 669121 1338242 2007363 2676484 4014726 5352968 6022089 8029452 10705936 12044178 16058904 21411872 24088356 32117808 42823744 48176712 64235616 96353424 128471232 192706848 385413696